Explanation Given Info: The length of the wire is 62.0 cm , the gauge of the wire is 7.25 g , the tension on the wire is 4110 N , the fundamental frequency of the sound causes the wire to vibrate in its second overtone with very large amplitude and the speed of the sound in air is 344 m/s . Formula to calculate the frequency of the second overtone is, f 3 wire = 3 v wire 2 L wire f 3 wire is the frequency of the second overtone. v wire is the speed of the sound in the wire. L wire is the length of the wire. Formula to calculate the frequency of the fundamental wave in a closed pipe, f 1 pipe = v 4 L pipe f 1 pipe is the frequency of the fundamental wave. L pipe is the length of the pipe. When the length of the closed pipe is adjusted in such a way that the pipe produces sound at its fundamental frequency and the wire vibrates at its second overtone, at this point the corresponding frequencies are equal. Thus, f 3 wire = f 1 pipe Substitute 3 v wire / 2 L wire for f 3 wire and v / 4 L pipe for f 1 pipe in the above equation to find L pipe . 3 v wire 2 L wire = v 4 L pipe L pipe = 2 L wire v 12 v wire = L wire v 6 v wire (I) Formula to calculate the speed of the sound in the wire is, v wire = T μ (II) v wire is the speed of the sound in the wire

University Physics with Modern Physics (14th Edition)

14th Edition

ISBN: 9780321973610

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

See similar textbooks

Concept explainers

Interference of sound

Seiche

A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water includ…

Question

Chapter 16, Problem 16.32E

To determine

The length of the pipe.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 16, Problem 16.31E

Chapter 16, Problem 16.33E

Students have asked these similar questions

two satellites are in circular orbits around the Earth. Satellite A is at an altitude equal to the Earth's radius, while satellite B is at an altitude equal to twice the Earth's radius. What is the ratio of their periods, Tb/Ta

Fresnel lens: You would like to design a 25 mm diameter blazed Fresnel zone plate with a first-order power of +1.5 diopters. What is the lithography requirement (resolution required) for making this lens that is designed for 550 nm? Express your answer in units of μm to one decimal point. Fresnel lens: What would the power of the first diffracted order of this lens be at wavelength of 400 nm? Express your answer in diopters to one decimal point. Eye: A person with myopic eyes has a far point of 15 cm. What power contact lenses does she need to correct her version to a standard far point at infinity? Give your answer in diopter to one decimal point.

Paraxial design of a field flattener. Imagine your optical system has Petzal curvature of the field with radius p. In Module 1 of Course 1, a homework problem asked you to derive the paraxial focus shift along the axis when a slab of glass was inserted in a converging cone of rays. Find or re-derive that result, then use it to calculate the paraxial radius of curvature of a field flattener of refractive index n that will correct the observed Petzval. Assume that the side of the flattener facing the image plane is plano. What is the required radius of the plano-convex field flattener? (p written as rho )

Chapter 16 Solutions

University Physics with Modern Physics (14th Edition)

Ch. 16.1 - You use an electronic signal generator to produce...Ch. 16.2 - Mercury is 13.6 times denser than water. Based on...Ch. 16.3 - Prob. 16.3TYU Ch. 16.4 - If you connect a hose to one end of a metal pipe...Ch. 16.5 - A stopped organ pipe of length L has a fundamental...Ch. 16.6 - Suppose that speaker A in Fig. 16.23 emits a...Ch. 16.7 - One tuning fork vibrates at 440 Hz, while a second...Ch. 16.8 - You are at an outdoor concert with a wind blowing...Ch. 16.9 - What would you hear if you were directly behind...Ch. 16 - Prob. 16.1DQ

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.